A combinational circuit that performs the addition of two input bits and a carry from the previous lower significant position is called
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One that performs addition of 3 bits – 2 significant bit and a previous carry is called a full adder. The name of the former comes from that fact that the 2 half adders are needed to implement a full adder.
The truth table is:
x y z C S
0 0 0 0 0
0 0 1 0 1
0 1 0 0 1
0 1 1 1 0
1 0 0 0 1
1 0 1 1 0
1 1 0 1 0
1 1 1 1 1